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Tamiku [17]
3 years ago
14

Simplify. cos^2[(pi/2) - x] + cos^2[(pi/2) - x] + cos^2x

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Numerator
<span><span>cos<span>(<span>π/2</span>−x)</span></span>=<span>cos<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>sin<span>(<span>π/2</span>)</span></span><span>sinx</span></span>

now <span><span>cos<span>(<span>π/2</span>)</span></span>=0 and <span>sin<span>(<span>π/2</span>)</span></span>=1</span>

simplifies to : 0 + sinx = sinx

Denominator

<span><span>sin<span>(<span>π/2</span>−x)</span></span>=<span>sin<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>cos<span>(<span>π/2</span>)</span></span><span>sinx</span></span>

simplifies to : cosx + 0 = cosx

<span>⇒<span><span>cos<span>(<span>π/2</span>−x)</span></span><span>sin<span>(<span>π/2</span>−x)</span></span></span>=<span><span>sinx/</span><span>cosx</span></span>=<span>tan<span>x</span></span></span>

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Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, M for mush
tigry1 [53]

Answer:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

Step-by-step explanation:

Given

Salad                               Meats                      Dressings

O = Olives                     S = Shrimp                 I = Italian  

M = Mushroom              E = Egg                     H = Honey mustard

To determine the sample space, we simply select one from each column.

Take for instance, a combination of Olives, Shrimp and Italian will be represented as: OSI

So, the following sample space exists:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

3 0
3 years ago
What’s 24 times 40 equals
Aleksandr-060686 [28]
24 times 40 equals 960.
3 0
3 years ago
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Can I please have help me with this problem ​
guajiro [1.7K]

9514 1404 393

Answer:

  B, C

Step-by-step explanation:

Shelby's total earnings will be the sum of the amount she has earned and the amount she can earn working h hours. That latter amount is 25h, since she makes $25 per hour. She wants that total to be at least $2000.

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Dividing by 25 gives ...

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subtracting 3, we have ...

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These match options B and C of your list.

8 0
3 years ago
Melinda and Marcus each have a job. Melinda earns $12 an hour. She also receives a $75 weekly bonus.
Olenka [21]
According to given information,
Equation of Melinda Earning = 75 + 12x
Equation of Marcus Earning = 15x
Where, x = Number of hours they worked.

Now, we need to calculate when they will have same amount of money, so for that instance they shall equal to each other.
75 + 12x = 15x
15x - 12x = 75
3x = 75
x = 75/3
x = 25

After 25 hours, they will have the money = 15(25) = $375

So, your final answer is $375

Hope this helps!

8 0
3 years ago
Read 2 more answers
Write as a unit rate. $300 per 6 hours. A 50 hours per dollar B $50 per hour C $0.20 per hour D 0.2 hours per dollar
jonny [76]
The correct answer is B) $50 per hour. Hope this helps!
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